Numerical integration of functions with a very small significant support

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article

Mastroianni, G.²  Monegato, G.¹ 

[1] Politecn Torino, Dipartimento Matemat, Turin, Italy

[2] Univ Basilicata, Dipartimento Matemat, Potenza, Italy

关键词: Numerical integration;    Quadrature rules;    Nystrom interpolants;   

DOI  :  10.1016/j.cam.2011.12.018

来源: Elsevier

【 摘 要 】

In some applications, one has to deal with the problem of integrating, over a bounded interval, a smooth function taking significant values, with respect to the machine precision or to the accuracy one wants to achieve, only in a very small part of the domain of integration. In this paper, we propose a simple and efficient numerical approach to compute or discretize integrals of this type. We also consider a class of second kind integral equations whose integral operator has the above behavior. Some numerical testing is presented. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free